Three important issues bear on understanding the connection between bilingualism and executive function. The first is the absence of a fine-grained task analysis for executive functions and other cognitive processes. The second is the absence of a theory of the cognitive mechanisms underlying the deployment of two or more languages and thus the absence of a solid basis on which to make predictions about what domain-general performances, if any, bilinguals should excel in. The third is the relation between neural and behavioral consequences of bilingualism. These three issues must be taken in account in trying to understand the variability among findings showing benefits of bilingualism for executive function.